Can you drill a hole in a cube that an identical cube could fall through? Prince Rupert of the Rhine first asked this ...

Prince Rupert of the Rhine first asked this question in the 17th century, and he soon found out the answer is yes. Later, ...

This paper is concerned with the shape-density m̃ for a random triangle whose vertices are randomly labelled and i.i.d.-uniform in a compact convex polygon K. In earlier work we have already shown ...

Vol. 18, Analytic and Geometric Stochastics: Papers in Honour of G. E. H. Reuter (Dec., 1986), pp. 59-72 (14 pages) An earlier paper [3] by one of us discussed shape-measures μ for random triangles ...

Are flat pedals better if the platform is convex? Concave? Why not both? While the internet argues about which pedal design provides the best grip and feel, OneUp has been testing prototypes of their ...

This map, published by South Dakotan Orlando Ferguson in 1893, offers a unique vision of the Earth as a concave field, with a round convex area in the middle. Surrounded by Bible passages arguing ...